超长(n,n)型碳纳米管的密度泛函理论研究

王艳丽; 苏克和; 王欣; 刘艳

doi:10.7498/aps.60.098111

摘要

用密度泛函B3LYP/3-21G(d)方法,并利用周期边界条件,研究了n=2—20不同管径的超长(n, n)型单壁碳纳米管的结构、能量、能带结构和能隙.结果表明,管径和能量(或生成焓)都随n有很好的变化规律,并可拟合成很好的解析函数.当n为2和3时,碳纳米管的能隙分别为1.836eV和0.228eV,呈半导体特征,且具有间接带隙;当n=4—20时,能隙介于0.027 eV和0.079 eV之间,呈较强的金属性,且具有直接带

关键词:

Abstract

The armchair (n,n) single walled carbon nanotubes with n=2—20 are studied by using the first principle density functional theory at the B3LYP/3-21G(d) level of theory combined with the periodic boundary conditions in simulating the ultra long tube model. The structure parameter, the energy, the band structure, and the energy gaps are obtained. The results show that the tube diameter and the energy of formation are closely related to n. The fitted analytical equations are developed with a correlation coefficient larger than 0.999. The energy gaps of (2,2) and (3,3) carbon nanotubes are 1.836 eV and 0.228 eV and the tubes have indirect energy gaps. For n=4 to 20, the energy gaps are quite small (between 0.027 eV and 0.079 eV), showing metal conductivity as well as direct energy gaps.

Keywords:

作者及机构信息

1.
西北工业大学空间应用物理与化学教育部重点实验室,理学院应用化学系,西安 710072

基金项目: 国家自然科学基金(批准号:50572089)资助的课题.

Authors and contacts

1.
Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education,School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi’an 710072, China

参考文献

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[35]	Dresselhaus M S, Dresselhaus G, Saito R 1995 Carbon 33 883
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施引文献

[1]	Iijima S 1991 Nature 354 56
[2]	Ilijima S 1993 Mater. Sci. Eng. B 19 172
[3]	Robertson J 2007 Mater Today 10 36
[4]	Oku T, Narita I 2002 Physica B 323 216
[5]	Bahram B Shirvani, Javad Beheshtian, Mehdi D Esrafili, Nasser L Hadipour 2010 Physica B 405 1455
[6]	Saeidi M, Vaezzadeh M 2009 Physica E 41 1723
[7]	Ayala P, Arenal R, Rümmeli M, Rubio A, Pichler T 2010 Carbon 48 575
[8]	Tien L G, Tsai C H, Li F Y, Lee M H 2008 Diamond Relat. Mater. 17 563
[9]	Kawakami Y, Nojima Y, Doi K, Nakamura K, Tachibana A 2004 Electrochim. Acta 50 739
[10]	Barone V, Heyd J, Scuseria G E 2004 Chem. Phys. Lett. 389 289
[11]	Satio R,Fujita M, Dresselhaus G 1992 Appl. Phys. Lett. 60 2240
[12]	Behabtu N, Green M J, Pasquali M 2008 Nano Today 3 24
[13]	Geoffrey M Spinks, Su Ryon Shin, Gordon G Wallace, Philip G Whitten, In Young Kim, Sun I Kim, Seon Jeong Kim 2007 Sens. Actuators B 121 616
[14]	Yao M G., Liu B B, Zou Y G, Wang L, Li D M, Cui T, Zou G T, Sundqvist B 2005 Carbon 43 2894
[15]	Chen C W, Lee M H, Clark S J 2004 Appl. Surf. Sci. 228 143
[16]	Liu B C, Lyu S C, Jung S I, Kang H K, Yang C W, Park J W, Park C Y, Lee C J 2004 Chem. Phys. Lett. 383 104
[17]	Seifi M, Ross D K, Giannasi A. 2007 Carbon 4 1871
[18]	Charlotte T M, Kwok B J, Reizman D E, Agnew, Gurjit S S, Weistroffer J, Michael S S, Edmund G S 2010 Carbon 48 1279
[19]	Matthew R M, Placidus B A, Amit G, Zafar I, Timothy S F 2006 Carbon 44 2758
[20]	Gabriel G, Sauthier G, Fraxedas J, Moreno-Maas M, Martínez M T, Miravitlles C, Casabó J 2006 Carbon 44 1891
[21]	Christian Klinke, Ali Afzali, Phaedon Avouris 2006 Chem. Phys. Lett. 430 75
[22]	Chen L N, OuYang F P, Ma S S, Wu X Z, Xiao J, Xu H 2010 Phys. Lett. A 374 4343
[23]	Budyka M F, Zyubina T S, Ryabenko A G, Lin S H, Mebe A M 2005 Chem. Phys. Lett. 407 266
[24]	Xu H, Xiao J, Ouyang F P 2010 Acta Phys. Sin. 59 4186 (in Chinese)[徐慧、肖金、欧阳方平 2010 59 4186]
[25]	Wei Y, Hu H F, Wang Z Y, Cheng C P, Chen N T, Xie N 2011 Acta Phys. Sin. 60 (in Chinese)[魏燕、胡慧芳、王志勇、程彩萍、陈南庭、谢能 2011 60 ](已接受)
[26]	Wang S F, Chen L Y, Zhang Y, Zhang J M, Xu K W J 2010 Mol. Struct. 962 108
[27]	Zhou G, Yoshiyuki Kawazoe 2002 Physica B 32 196
[28]	Ouyang F P, Peng S L, Chen L N, Sun S Y, Xu H 2011 Chin. Phys. 20 027102
[29]	Wang Y L, Yan H X, Huang Y, Zhang J P 2010 J. Mol.Sci. 27 34 (in Chinese)[王艳丽、颜红侠、黄英、张军平 2010 分子科学学报 27 34]
[30]	Dovesi R, Civalleri B, Orlando R, Roetti C, Saunders V R, in: Lipkowitz K B, Larter R, Cundari T R. (Eds.) 2005 Reviews in Computational Chemistry Wiley (New York) 21 1
[31]	Frisch M J, Trucks G W, Schlegel H B, Scuseria G E, Robb M A, Cheeseman J R, Scalmani G, Barone V, Mennucci B, Petersson A, Nakatsuji H, Caricato M, Li X, Hratchian H P, Izmaylov A F, Bloino J, Zheng G, Sonnenberg J L, Hada M, Ehara M, K Toyota G, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery J A, Jr, Peralta J E, Ogliaro F, Bearpark M, Heyd J J, Brothers E, Kudin K N, Staroverov V N, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant J C, Iyengar S S, Tomasi J, Cossi M, Rega N, Millam J M, Klene M, Knox J E, Cross J B, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann R E, Yazyev O, Austin A J, Cammi R, Pomelli C, Ochterski J W, Martin R L, Morokuma K, Zakrzewski V G, Voth G A, Salvador P, Dannenberg J J, Dapprich S, Daniels A, Farkas O, Foresman J B, Ortiz J V, Cioslowski J, Fox D J, Gaussian 09, Revision A.02, Gaussian, Inc Wallingford CT 2009
[32]	Verlag C,Weinheim 1968 Handbuch der Anorganischen Chemie (vol. 14B/2) p143
[33]	Mashreghi A, Moshksar M M 2010 Computational Materials Science 49 871
[34]	Budyka M F, Zyubina T S, Ryabenko A G, Lin S H, Mebel A M 2005 Chem. Phys. Lett. 407 266
[35]	Dresselhaus M S, Dresselhaus G, Saito R 1995 Carbon 33 883
[36]	Roberto S, Mauro B, Takahisa O 2009 Chem. Phys. Lett. 480 215
[37]	Zhao X, Liu Y, Inoue S, Suzuki T, Jones RO, Ando Y 2004 Phys Rev. Lett. 92 125502
[38]	Qin L C, Zhao X L, Hirahara K, Miyamoto Y, Ando Y,lijima S 2000 Nature 408 50
[39]	Wang L, Tang Z K, Li G D, Chen J S 2000 Nature 408 50
[40]	Satio R, Dresselhaus G, Dresselhaus M S 1998 Physical properties of carbon nanotubes (London: Imperial College Press)

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